The work brings together teams from the University of Chicago Pritzker School of Molecular Engineering, Harvard, Stony Brook University, and Quantinuum. Using non-Abelian anyons encoded across multiple qubits, the researchers show that by moving (braiding) these excitations in carefully chosen patterns—and combining that with additional operations—they can implement the full range of gates needed for arbitrary quantum algorithms.

“We demonstrated a universal gate set,” said Ruben Verresen of UChicago PME, explaining that storing information in these emergent quark-like degrees of freedom and then manipulating them enables essentially any quantum computation. The goal is not just proof that quantum effects can be controlled, but that the control is broad enough to scale into general-purpose computing.

A central motivation is fault tolerance. Conventional quantum error correction protects qubits by spreading information across many physical qubits, but universal gate sets usually require resource-heavy “magic states.” Building those states typically involves distillation procedures that consume significant machine time and qubits—one of the biggest practical costs in leading architectures.

Non-Abelian anyons are naturally attractive because their information is distributed across entangled degrees of freedom, making them comparatively resilient to local noise. Just as importantly, their braiding can function as computation. Yet prior demonstrations using the D4 symmetry group—based on rotations and reflections of a square—showed that braiding alone was not enough to reach full universality.

The new study targets a different symmetry, S3, associated with rotations and mirror flips of an equilateral triangle. On Quantinuum’s H2 trapped-ion processor, the team entangled 54 qubits to realize S3-based anyons. Crucially, the researchers show that universality emerges only when braiding is paired with fusion, a measurement-like operation where two anyons are merged and the outcome is read out.

To benchmark the approach, the team encoded information in “topological qutrits,” which use three quantum levels rather than the two levels of ordinary qubits. Braiding produced an entangling operation, while fusion generated distinct measurement operations; together, these components can in principle synthesize any quantum transformation, including gates unreachable by braiding alone. The protocol also enables preparation of a magic state directly via topological operations, potentially avoiding expensive distillation.

In the current results, the researchers did not perform active error correction. Instead, they verified key building blocks and confirmed that a magic state produced through anyon-based procedures matches theoretical expectations. “So far, we’ve ignored the question of error correction,” Verresen said—framing the work as a proof of principle.

The next step is to integrate this anyon-based approach with error correction to move from demonstrated primitives to scalable, fault-tolerant computation. Verresen and collaborators are already exploring methods to stabilize non-Abelian quantum memories, aiming to make this “dark horse” architecture practical for large-scale quantum machines.

Subject of Research: Universal quantum computation with non-Abelian anyons (braiding and fusion) and implications for fault-tolerant quantum error correction
Article Title: Universal gates from braiding and fusing anyons on quantum hardware
News Publication Date: 15-Jul-2026
Web References: https://www.nature.com/articles/s41586-026-10709-y
References: Lo et al., Nature (July 15, 2026). DOI: 10.1038/s41586-026-10709-y
Image Credits:
Keywords: quantum computing; non-Abelian anyons; topological qutrits; universal gate set; quantum error correction; braiding and fusion; trapped-ion processor

Topological quantum computation offers a different vision: implement logic by braiding non-Abelian anyons, whose exchanges enact transformations on a degenerate Hilbert space. Yet for the simplest non-Abelian extensions of the toric code, braiding alone has long been known to be insufficient for universal quantum computation. The missing ingredient is not more braiding, but an additional primitive that leverages the internal structure of anyons—namely, fusion.

In a new hardware demonstration, researchers show that anyon fusion, when combined with braiding, can supply the missing universality. Working with a quantum double model based on the smallest non-Abelian group, (S_3), they focus on encoding information in the global fusion space of non-Abelian anyons. Instead of relying solely on exchange operations, they treat fusion as an active computational step, enabling a richer set of logical transformations.

The team prepares a 54-qubit ground state of the (S_3) quantum double on Quantinuum’s H2 processor. This matters because creating a specific topological phase is not just a theoretical construction—it requires carefully engineering the many-body constraints that define the fusion rules and anyonic structure. Their experiment operationalizes those constraints so that logical degrees of freedom live in the anyon fusion space.

By integrating braiding with fusion operations, the researchers implement a universal topological gate set. They also perform read-out in the same topological framework, ensuring that measurement respects the global nature of the encoded information. Crucially, they validate the computational power by topologically preparing a magic state, an essential resource for achieving universal quantum computation under fault-tolerant schemes.

Taken together, the work argues that minimally non-Abelian topological states can be both scalably preparable and computationally powerful—if fusion is used as a primitive rather than treated as a passive property. That shift reframes what is required for universality: not just non-Abelian statistics, but the ability to control how anyons combine.

Beyond this specific model, the results suggest broader pathways for harnessing the intrinsic properties of quantum matter. If fusion-controlled universality can be extended to other quantum double phases and hardware platforms, topological codes may become not only robust memories but practical computational substrates. For viral science news, the headline is simple: the path to universal, fault-tolerant quantum computing just gained a crucial new lever—anyon fusion on real hardware.

Subject of Research: Topological quantum computation using non-Abelian anyons; universality via braiding and fusion
Article Title: Universal gates from braiding and fusing anyons on quantum hardware
Article References: Lo, C.F.B., Lyons, A., Gresh, D. et al. Universal gates from braiding and fusing anyons on quantum hardware. Nature 655, 591–597 (2026). https://doi.org/10.1038/s41586-026-10709-y
Image Credits: AI Generated
DOI: 10.1038/s41586-026-10709-y
Keywords: topological quantum computation; non-Abelian anyons; fusion and braiding; quantum double; (S_3); magic state; fault tolerance